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Finding the Fourth Proportional to 512.94, 769.44 and 166.20

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Solution

The fourth proportional to 512.94, 769.44 and 166.20 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.44 = 166.20 : x
  2. Step 2: Convert to fraction form
    512.94/769.44 = 166.20/x
  3. Step 3: Cross multiply
    512.94x = 769.44 × 166.20
  4. Step 4: Simplify right side
    512.94x = 127,880.93
  5. Step 5: Solve for x
    x = 127,880.93/512.94
  6. Step 6: Final answer
    x = 249.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.